Saturday, June 23, 2007

National Mathematics Olympiad.

This morning I just went to MMU to sit for that.
Below are the questions as I remembered (sorry if the is any mistake in it)

Part A (Only final answer needed)
  1. If a(1)=6,..... a(n)=6^(a(n-1)) find the remainder when a(100) is divided by 11.
  2. Given y is bigger than -1 but smaller than 0 and x is bigger than 0 but smaller than 1 and A="yx^2" B="(yx^2)^(-1)" C="xy^2" D="(xy^2)^(-1)" arrange from smallest to biggest.
  3. A triangle has one 4cm side, the other 2 sides are in the ratio of 1:3 find the maximum area of the triangle.
  4. Simplify log(base2)4 log(base4)6log(base6)8......log(base2n)(2n+2)
  5. Express 580 as the sum of 2 squares.
  6. f is a function defined for non-negative integers and f(2n+1)=f(n) f(2n)=1-f(n) find f(2007).
Part B (Show full working)
  1. f and g are functions defined for [0,2c] where c>0 ,prove that there exist (x,y) which is an element of [0,2c] such that {modulus(xy-f(x)+g(y))} >or= to c^2
  2. Two circles of radius 1 and 2 respectively are touched tangentially on the external. A third circle touches both of the tangentially, making the centre of the circles form a right angle triangle. Find the radius of the third circle.
  3. m,n is a element of the set {1,2,3,4,.......2007} Find the maximum value of m^2+n^2 if (n^2-mn-m^2)^2=1
The time is 2hours and 30 minutes and no calculator is allowed.

I did all of them.
Try them out yourself. If you want my answers or you don't understand what I wrote, leave a comment or message me.

Now I just checked my SAT2 scores and they are
Physics 800
Maths level2 800
Chemistry 790
with 800 as the maximum score, it's not too bad right?
Ok that's all for now until next time, Cheers.

Wednesday, June 20, 2007

Temu Mesra

This Friday will be the temu mesra day. Parents are invited to come to school and meet the teachers, it is a day of dread to some. To me it's....... neutral.

I have gotten the 4th place in my class, together with another guy. Oh ya and my class just won the P.A. quiz, first place!! And I hope I did myself proud today. I worked with one of my classmate which I didn't like to clean up the hall after that.

Tuesday, June 19, 2007

Just trimmed my nails

Studying for the Olympiad is not as easy as it looks, but it's a fun process for me. I averaged a 3 days for one past years and now I only got 34 more to do before I go to UKM and Iran thereafter.
For those interested (you can't believe how many people asked me when am I going to go to Iran), I am:
  • Venue: going to Iran on
  • Time: the 12th or 13th of July 2007 to 23rd of July for
  • Event: The International Physics Olympiad (IPhO)
But I am going to UKM at 9th of July then straightly go to Iran. So I am going to "skip" school for about 2 weeks for official reason.

Below is the website where you can get the past years, In case you are interested in how "hard"
a material am I studying.

Now...... switching to a different topic, National Mathematics Olympiads will be held on this Saturday.

Sorry to cut it short, but it's time to go to bed......

Saturday, June 16, 2007

Study For Glory

I have been studying(and onlining too) these past few days. ok Wish me luck be the Absolute winner!

Thursday, June 07, 2007

In Ukm now Finally got to online

Now I am onlining on the last day.... tomorrow don't count because it's only a test and then I go back. Oh ya, I gotta go back by 2 o'clock. so even if I wanna write a lot here, I don't have the time.
I also gotta remember how many things I have signed in here, it's a public computer.